On the MIT bag model: self-adjointness and non-relativistic limit

Naiara Arrizabalaga (1) , Loïc Le Treust (2, 3) , Nicolas Raymond (2)

1 UPV / EHU - University of the Basque Country = Euskal Herriko Unibertsitatea
2 IRMAR - Institut de Recherche Mathématique de Rennes
3 IPSO - Invariant Preserving SOlvers

This paper is devoted to the mathematical investigation of the MIT bag model, that is the Dirac operator on a smooth and bounded domain with certain boundary conditions. We prove that the operator is self-adjoint and, when the mass goes to infinity, we provide spectral asymptotic results.

Domaines: Physique mathématique [math-ph]

Naiara Arrizabalaga, Loïc Le Treust, Nicolas Raymond. On the MIT bag model: self-adjointness and non-relativistic limit. 2016. ⟨hal-01343717v1⟩